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Finding the Fourth Proportional to 3,937.77, 5,434.16 and 2,169.41

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Solution

The fourth proportional to 3,937.77, 5,434.16 and 2,169.41 is: 2,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.77 : 5,434.16 = 2,169.41 : x
  2. Step 2: Convert to fraction form
    3,937.77/5,434.16 = 2,169.41/x
  3. Step 3: Cross multiply
    3,937.77x = 5,434.16 × 2,169.41
  4. Step 4: Simplify right side
    3,937.77x = 11,788,883.03
  5. Step 5: Solve for x
    x = 11,788,883.03/3,937.77
  6. Step 6: Final answer
    x = 2,993.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.